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Finding the Third Proportional to 85,957 and 129,098

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Solution

The third proportional to 85,957 and 129,098 is: 193,891.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,957 : 129,098 = 129,098 : x
  2. Step 2: Convert to fraction form
    85,957/129,098 = 129,098/x
  3. Step 3: Cross multiply
    85,957x = 129,098 × 129,098
  4. Step 4: Simplify right side
    85,957x = 16,666,293,604
  5. Step 5: Solve for x
    x = 16,666,293,604/85,957
  6. Step 6: Final answer
    x = 193,891.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.